Ryan S. answered • 13d

Biochemistry at the University of Virginia, STEM Tutor

So in order to solve this problem you have to determine what the price of water is as a function of HCF at 25. Start by assigning your variables by determining which one is dependent (y) on the other (x). Then calculate the average rate of change (slope) between the two points using the equation:

(y_{2}-y_{1})/(x_{2}-x_{1}) = m

With the slope now calculated we have to determine what the y-intercept is. This can be done by plugging in some known values and solving for b (the y intercept). You can use the values from x_{1} and y_{1.}

y_{1} = mx_{1}+ b

b = Starting Price

Now that we have determined the equation we can solve for the price at 25 HCF.

y = m(25) + b

y = Price at 25 HCF

Hope this helps!